A071062 Minimal set of prime-strings in base 10.

2, 3, 5, 7, 11, 19, 41, 61, 89, 409, 449, 499, 881, 991, 6469, 6949, 9001, 9049, 9649, 9949, 60649, 666649, 946669, 60000049, 66000049, 66600049

Offset: 1

Author

Benoit Cloitre, May 26 2002

Keywords

• fini
• full
• nice
• nonn
• base

Comments

Any prime number contains in its digits at least one of the terms of this sequence and there is no smaller set. There are 26 terms in the sequence.

Links

• Ioulia N. Baoulina, Martin Kreh, and Jörn Steuding, Deleting digits, arXiv:1607.01548 [math.NT], 2016.
• David Butler, 65536, Making Your Own Sense blog, June 2017.
• C. K. Caldwell, The Prime Glossary, minimal prime
• J.-P. Delahaye, Nombres premiers inévitables et pyramidaux, Pour la science, (French edition of Scientific American), Juin 2002, p. 99.
• Ernest G. Hibbs, Component Interactions of the Prime Numbers, Ph. D. Thesis, Capitol Technology Univ. (2022), see p. 33.
• J. Shallit, Minimal primes, pdf, J. Recreational Mathematics, vol. 30.2, pp. 113-117, 1999-2000.

Crossrefs

Cf. A071070, A071071, A071072, A071073.

Extensions

Typo corrected by T. D. Noe, Nov 15 2006

Typo corrected by Walter Kehowski, Feb 22 2007